On 1st Kings XIX, 10

Topics: Hooge, Pierre-François, Bible, Conduct of life, Sermons, Dutch

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Jan 17, 2022
01/22

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Schellekens, Philida

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xiii, 222 pages ; 25 cm

Topics: English language -- Study and teaching -- Foreign speakers, English language -- Study and teaching...

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Mar 18, 2022
03/22

by
Tine Schellekens

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In-depts Interviews about the experience, antecedents and consequences of a grace-experience

Source: https://osf.io/3mszk/

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Mar 31, 2022
03/22

by
Tine Schellekens

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This is an addendum on the preregistration on the 18th of March.

Source: https://osf.io/vhgns/

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Sep 21, 2013
09/13

by
A. N. Schellekens

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Recent work on the classification of conformal field theories with one primary field (the identity operator) is reviewed. The classification of such theories is an essential step in the program of classification of all rational conformal field theories, but appears impossible in general. The last managable case, central charge 24, is considered here. We found a total of 71 such theories (which have not all been constructed yet) including the monster module. The complete list of modular...

Source: http://arxiv.org/abs/hep-th/9304098v1

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Sep 21, 2013
09/13

by
A. N. Schellekens

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Modular invariant conformal field theories with just one primary field and central charge $c=24$ are considered. It has been shown previously that if the chiral algebra of such a theory contains spin-1 currents, it is either the Leech lattice CFT, or it contains a Kac-Moody sub-algebra with total central charge 24. In this paper all meromorphic modular invariant combinations of the allowed Kac-Moody combinations are obtained. The result suggests the existence of 71 meromorphic $c=24$ theories,...

Source: http://arxiv.org/abs/hep-th/9205072v1

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Sep 23, 2013
09/13

by
A. N. Schellekens

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For each $N$ an infinite number of Conformal Field Theories is presented that has the same fusion rules as SO(N) level 2. These new theories are obtained as extensions of the chiral algebra of $SO(NM^2)$ level 2, and correspond to new modular invariant partition functions of these theories.

Source: http://arxiv.org/abs/math/9806162v1

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Jul 22, 2013
07/13

by
A. N. Schellekens

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We are in the middle of a remarkable paradigm shift in particle physics, a shift of opinion that occurred so slowly that some even try to deny that they changed their minds at all. It concerns a very basic question: can we expect to derive the laws of particle physics from a fundamental theory? The Standard Model of particle physics as well as the 1984 string theory revolution provided ample food for thought about this. The reason this was ignored for so long can be traced back to an old...

Source: http://arxiv.org/abs/0807.3249v3

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Sep 18, 2013
09/13

by
A. N. Schellekens

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A brief heuristic explanation is given of recent work with Juergen Fuchs, Beatriz Gato-Rivera and Christoph Schweigert on the construction of modular invariant partition functions from Galois symmetry in conformal field theory. A generalization, which we call quasi-Galois symmetry, is also described. As an application of the latter, the invariants of the exceptional algebras at level $g$ (for example $E_8$ level 30) expected from conformal embeddings are presented. [Contribution to the...

Source: http://arxiv.org/abs/hep-th/9412118v1

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Jul 20, 2013
07/13

by
A. N. Schellekens

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This is a translation of an inaugural speech given originally in Dutch in 1998. The topic of that speech, intended for a general audience, was what is now called "The Anthropic Landscape of String Theory".

Source: http://arxiv.org/abs/physics/0604134v2

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Sep 20, 2013
09/13

by
A. N. Schellekens

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Progress towards the classification of the meromorphic $c=24$ conformal field theories is reported. It is shown if such a theory has any spin-1 currents, it is either the Leech lattice CFT, or it can be written as a tensor product of Kac-Moody algebras with total central charge 24. The total number of combinations of Kac-Moody algebras for which meromorphic $c=24$ theories may exist is 221. The next step towards classification is to obtain all modular invariant combinations of Kac-Moody...

Source: http://arxiv.org/abs/hep-th/9112006v1

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Sep 22, 2013
09/13

by
A. N. Schellekens

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Some applications of simple current techniques and fixed point resolution to theories of open strings are discussed. In addition to a brief review of work presented in two recent papers with L. Huiszoon and N. Sousa, some new results concerning uniqueness of crosscap coefficients are presented, as well as a strange sum rule for the modular matrix implied by the existence of crosscaps.

Source: http://arxiv.org/abs/hep-th/0001198v1

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Sep 24, 2013
09/13

by
A. N. Schellekens

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This is a brief review of simple current techniques and their application to string theory constructions, centered around Max Kreuzer's contribution to this field

Source: http://arxiv.org/abs/1112.2587v1

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Sep 21, 2013
09/13

by
A. N. Schellekens

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A formula is derived for the fixed point resolution matrices of simple current extended WZW-models and coset conformal field theories. Unlike the analogous matrices for unextended WZW-models, these matrices are in general not symmetric, and they may have field-dependent twists. They thus provide non-trivial realizations of the general conditions presented in earlier work with Fuchs and Schweigert.

Source: http://arxiv.org/abs/math/9905153v1

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Sep 18, 2013
09/13

by
M. Maio; A. N. Schellekens

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We study orbifolds by permutations of two identical N=2 minimal models within the Gepner construction of four dimensional heterotic strings. This is done using the new N=2 supersymmetric permutation orbifold building blocks we have recently developed. We compare our results with the old method of modding out the full string partition function. The overlap between these two approaches is surprisingly small, but whenever a comparison can be made we find complete agreement. The use of permutation...

Source: http://arxiv.org/abs/1102.5293v1

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Sep 24, 2013
09/13

by
Homeira Pajoohesh; M. P. Schellekens

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We present an overview of ongoing work at the Centre for Efficiency-Oriented languages (CEOL), with a focus on topological aspects. CEOL researchers are engaged in designing a new Real-Time Language to improve software timing. The centre broadly focuses on bridging Semantics and Complexity and unites researchers with expertise in Semantics of Programming Languages, Real-Time Languages, Compiler Design and Graph Based Algorithms. CEOL aims to narrow the gap between Worst Case Execution Time...

Source: http://arxiv.org/abs/math/0412556v1

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Jul 20, 2013
07/13

by
A. N. Schellekens; N. Sousa

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We construct explicitly the open descendants of some exceptional automorphism invariants of U(2N) orbifolds. We focus on the case N=pq, p and q prime, and on the automorphisms of the diagonal and charge conjugation invariants that exist for these values of N. These correspond to orbifolds of the circle with radius R^2=2p/q. For each automorphism invariant we find two consistent Klein bottles, and for each Klein bottle we find a complete (and probably unique) set of boundary states. The two...

Source: http://arxiv.org/abs/hep-th/0009100v2

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Sep 18, 2013
09/13

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N. Sousa; A. N. Schellekens

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The problem of finding boundary states in CFT, often rephrased in terms of "NIMreps" of the fusion algebra, has a natural extension to CFT on non-orientable surfaces. This provides extra information that turns out to be quite useful to give the proper interpretation to a NIMrep. We illustrate this with several examples. This includes a rather detailed discussion of the interesting case of the simple current extension of A_2 level 9, which is already known to have a rich structure....

Source: http://arxiv.org/abs/hep-th/0210014v2

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Sep 21, 2013
09/13

by
M. Maio; A. N. Schellekens

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In this paper we apply the previously derived formalism of permutation orbifold conformal field theories to N=2 supersymmetric minimal models. By interchanging extensions and permutations of the factors we find a very interesting structure relating various conformal field theories that seems not to be known in literature. Moreover, unexpected exceptional simple currents arise in the extended permuted models, coming from off-diagonal fields. In a few situations they admit fixed points that must...

Source: http://arxiv.org/abs/1011.0934v1

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Aug 20, 2021
08/21

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Anna Sophia Schellekens; arne nieuwenhuys

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Source: https://osf.io/vdhu3/

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Sep 22, 2013
09/13

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M. Kreuzer; A. N. Schellekens

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We give a complete classification of all simple current modular invariants, extending previous results for $(\Zbf_p)^k$ to arbitrary centers. We obtain a simple explicit formula for the most general case. Using orbifold techniques to this end, we find a one-to-one correspondence between simple current invariants and subgroups of the center with discrete torsions. As a by-product, we prove the conjectured monodromy independence of the total number of such invariants. The orbifold approach works...

Source: http://arxiv.org/abs/hep-th/9306145v1

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Sep 21, 2013
09/13

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M. Maio; A. N. Schellekens

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We determine the simple currents and fixed points of the orbifold theory $CFT\otimes CFT/\mathbb{Z}_2$, given the simple currents and fixed point of the original $CFT$. We see in detail how this works for the $SU(2)_k$ WZW model, focusing on the field content (i.e. $h$-spectrum of the primary fields) of the theory. We also look at the fixed point resolution of the simple current extended orbifold theory and determine the $S^J$ matrices associated to each simple current for $SU(2)_2$ and for the...

Source: http://arxiv.org/abs/0905.1632v1

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Dec 30, 2021
12/21

by
Tine Schellekens; Annemie Dillen; Jessie Dezutter

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Preregistration Template (Kern, 2017) Psychometric Evaluation Experiencing Grace A. General information A.1 Project title: Grace Scale Validation A.2.1 Authors: Dezutter, J, Dillen, A., & Schellekens, T. A.2.2 Affiliation: KU Leuven, Faculty of Psychology & Faculty of Theology A.3 Contact details: Jessie.dezutter@kuleuven.be – annemie.dillen@kuleuven.be A.4 Abstract and research question(s): In a first stage, a lay definition of grace as it is currently defined in a secularized...

Source: https://osf.io/f28k5/

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Sep 23, 2013
09/13

by
B. Gato-Rivera; A. N. Schellekens

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We check the list of supersymmetric standard model orientifold spectra of Dijkstra, Huiszoon and Schellekens for the presence of global anomalies, using probe branes. Absence of global anomalies is found to impose strong constraints, but in nearly all cases they are automatically satisfied by the solutions to the tadpole cancellation conditions.

Source: http://arxiv.org/abs/hep-th/0510074v1

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Sep 23, 2013
09/13

by
B. Gato-Rivera; A. N. Schellekens

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Starting from a previously collected set of tachyon-free closed strings, we search for N=2 minimal model orientifold spectra which contain the standard model and are free of tachyons and tadpoles at lowest order. For each class of tachyon-free closed strings -- bulk supersymmetry, automorphism invariants or Klein bottle projection -- we do indeed find non-supersymmetric and tachyon free chiral brane configurations that contain the standard model. However, a tadpole-cancelling hidden sector...

Source: http://arxiv.org/abs/0810.2267v1

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Jun 30, 2018
06/18

by
B. Gato-Rivera; A. N. Schellekens

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The structure of a Standard Model family is derived in a class of brane models with a U(M) x U(N) factor, from two mildly anthropic requirements: a massless photon and a universe that does not turn into a plasma of massless charged particles. If we choose M=3 and N=2, the only option is shown to be the Standard Model with an undetermined number of families. We do not assume the U(1) embedding, charge quantization, family repetition, nor the fermion representations; all of these features are...

Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology

Source: http://arxiv.org/abs/1401.1782

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Sep 21, 2013
09/13

by
B. Gato-Rivera; A. N. Schellekens

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We consider non-supersymmetric four-dimensional closed string theories constructed out of tensor products of N=2 minimal models. Generically such theories have closed string tachyons, but these may be removed either by choosing a non-trivial partition function or a suitable Klein bottle projection. We find large numbers of examples of both types.

Source: http://arxiv.org/abs/0709.1426v1

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Sep 18, 2013
09/13

by
Elias Kiritsis; Bert Schellekens; Mirian Tsulaia

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A complete analysis of orientifold compactifications involving Gepner models that are free fields (k=1,2) is performed. A set of tadpole solutions is found that are variants of a single chiral spectrum. The vacua found have the property that different families have different U(1) charges so that one family cannot obtain masses in perturbation theory. Its masses must come from instantons, allowing for a hierarchy of masses. The phenomenological aspects of such vacua are analyzed.

Source: http://arxiv.org/abs/0809.0083v2

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Aug 28, 2021
08/21

by
Tine Schellekens; Annemie Dillen; Jessie Dezutter

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Source: https://osf.io/jb2vh/

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Sep 11, 2021
09/21

by
Tine Schellekens; Annemie Dillen; Jessie Dezutter

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Source: https://osf.io/arfne/

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Aug 18, 2021
08/21

by
Tine Schellekens; Annemie Dillen; Jessie Dezutter

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Source: https://osf.io/ep46b/

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Aug 31, 2021
08/21

by
Tine Schellekens; Annemie Dillen; Jessie Dezutter

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Source: https://osf.io/gpn68/

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Sep 22, 2013
09/13

by
L. R. Huiszoon; A. N. Schellekens

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Open descendants with boundaries and crosscaps of non-trivial automorphism type are studied. We focus on the case where the bulk symmetry is broken to a Z_2 orbifold subalgebra. By requiring positivity and integrality for the open sector, we derive a unique crosscap of automorphism type g \in Z_2 and a corresponding g-twisted Klein bottle for a charge conjugation invariant. As a specific example, we use T-duality to construct the descendants of the true diagonal invariant with symmetry...

Source: http://arxiv.org/abs/hep-th/0004100v1

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Sep 23, 2013
09/13

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B. Gato-Rivera; A. N. Schellekens

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In the same spirit as heterotic weight lifting, B-L lifting is a way of replacing the superfluous and ubiquitous U(1)_{B-L} with something else with the same modular properties, but different conformal weights and ground state dimensions. This method works in principle for all variants of (2,2) constructions, such as orbifolds, Calabi-Yau manifolds, free bosons and fermions and Gepner models, since it only modifies the universal SO(10) x E_8 part of the CFT. However, it can only yield chiral...

Source: http://arxiv.org/abs/1012.0796v1

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Sep 19, 2013
09/13

by
Elias Kiritsis; Michael Lennek; Bert Schellekens

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We construct a large class of SU(5) orientifold vacua with tadpole cancellation both for the standard and the flipped case. We give a general analysis of superpotential couplings up to quartic order in orientifold vacua and identify the properties of needed Yukawa couplings as well as the baryon number violating couplings. We point out that successful generation of the perturbatively forbidden Yukawa couplings entails a generically disastrous rate for proton decay from an associated quartic...

Source: http://arxiv.org/abs/0909.0271v2

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Sep 19, 2013
09/13

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B. Gato-Rivera; A. N. Schellekens

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A systematic study of "lifted" Gepner models is presented. Lifted Gepner models are obtained from standard Gepner models by replacing one of the N=2 building blocks and the $E_8$ factor by a modular isomorphic $N=0$ model on the bosonic side of the heterotic string. The main result is that after this change three family models occur abundantly, in sharp contrast to ordinary Gepner models. In particular, more than 250 new and unrelated moduli spaces of three family models are...

Source: http://arxiv.org/abs/1009.1320v1

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Sep 19, 2013
09/13

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B. Gato-Rivera; A. N. Schellekens

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We describe a method for constructing genuinely asymmetric (2,0) heterotic strings out of N=2 minimal models in the fermionic sector, whereas the bosonic sector is only partly build out of N=2 minimal models. This is achieved by replacing one minimal model plus the superfluous E_8 factor by a non-supersymmetric CFT with identical modular properties. This CFT generically lifts the weights in the bosonic sector, giving rise to a spectrum with fewer massless states. We identify more than 30 such...

Source: http://arxiv.org/abs/0910.1526v1

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Sep 19, 2013
09/13

by
B. Gato-Rivera; A. N. Schellekens

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We summarize recent work on the classification of modular invariant partition functions that can be obtained with simple currents in theories with a center (Z_p)^k with p prime. New empirical results for other centers are also presented. Our observation that the total number of invariants is monodromy-independent for (Z_p)^k appears to be true in general as well. (Talk presented in the parallel session on string theory of the Lepton-Photon/EPS Conference, Geneva, 1991.)

Source: http://arxiv.org/abs/hep-th/9109035v1

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Sep 22, 2013
09/13

by
Elias Kiritsis; Michael Lennek; Bert Schellekens

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We investigate a class of orientifold models based on tensor products of 18 Ising models. Using the same search criteria as for the comparable case of Gepner model orientifolds we find that there are no three-family standard model configurations with tadpole cancellation. Even if we do not impose the latter requirement, we only find one such configuration in the special case of complex free fermions. In order to allow a comparison with other approaches we enumerate the Hodge numbers of the...

Source: http://arxiv.org/abs/0811.0515v2

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Sep 17, 2013
09/13

by
A. N. Schellekens; Ya. S. Stanev

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Assuming the completeness condition for boundaries we derive trace formulas for the annulus coefficients in 2-dimensional conformal field theory. We also derive polynomial equations that relate the annulus, Moebius and Klein bottle coefficients, and conjecture an annulus trace formula that is sensitive to the orientation of the boundaries.

Source: http://arxiv.org/abs/hep-th/0108035v2

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Sep 17, 2013
09/13

by
B. Gato-Rivera; A. N. Schellekens

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We reconsider a class of heterotic string theories studied in 1989, based on tensor products of N=2 minimal models with asymmetric simple current invariants. We extend this analysis from (2,2) and (1,2) spectra to (0,2) spectra with SO(10) broken to the Standard Model. In the latter case the spectrum must contain fractionally charged particles. We find that in nearly all cases at least some of them are massless. However, we identify a large subclass where the fractional charges are at worst...

Source: http://arxiv.org/abs/1003.6075v3

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Jun 27, 2018
06/18

by
Bichen Shi; Michel Schellekens; Georgiana Ifrim

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Smoothed analysis is a framework for analyzing the complexity of an algorithm, acting as a bridge between average and worst-case behaviour. For example, Quicksort and the Simplex algorithm are widely used in practical applications, despite their heavy worst-case complexity. Smoothed complexity aims to better characterize such algorithms. Existing theoretical bounds for the smoothed complexity of sorting algorithms are still quite weak. Furthermore, empirically computing the smoothed complexity...

Topics: Computational Complexity, Learning, Computing Research Repository, Artificial Intelligence

Source: http://arxiv.org/abs/1503.06572

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Aug 23, 2021
08/21

by
Tine Schellekens; Annemie Dillen; Jessie Dezutter

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Source: https://osf.io/jvnks/

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Sep 23, 2013
09/13

by
J"urgen Fuchs; Bert Schellekens; Christoph Schweigert

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We describe the resolution of field identification fixed points in coset conformal field theories in terms of representation spaces of the coset chiral algebra. A necessary ingredient from the representation theory of Kac Moody algebras is the recently developed theory of twining characters and orbit Lie algebras, as applied to automorphisms representing identification currents.

Source: http://arxiv.org/abs/q-alg/9511026v1

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Sep 22, 2013
09/13

by
J. Fuchs; A. N. Schellekens; C. Schweigert

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The set of modular invariants that can be obtained from Galois transformations is investigated systematically for WZW models. It is shown that a large subset of Galois modular invariants coincides with simple current invariants. For algebras of type B and D infinite series of previously unknown exceptional automorphism invariants are found.

Source: http://arxiv.org/abs/hep-th/9410010v1

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Sep 18, 2013
09/13

by
J"urgen Fuchs; Bert Schellekens; Christoph Schweigert

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A formula is presented for the modular transformation matrix S for any simple current extension of the chiral algebra of a conformal field theory. This provides in particular an algorithm for resolving arbitrary simple current fixed points, in such a way that the matrix S we obtain is unitary and symmetric and furnishes a modular group representation. The formalism works in principle for any conformal field theory. A crucial ingredient is a set of matrices S^J_{ab}, where J is a simple current...

Source: http://arxiv.org/abs/hep-th/9601078v2

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Sep 21, 2013
09/13

by
O. Aharony; S. Yankielowicz; A. N. Schellekens

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Some errors in section 4 are corrected. No change in the results.

Source: http://arxiv.org/abs/hep-th/9311128v2

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Sep 18, 2013
09/13

by
J"urgen Fuchs; Bert Schellekens; Christoph Schweigert

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The fixed point resolution problem is solved for diagonal coset theories. The primary fields into which the fixed points are resolved are described by submodules of the branching spaces, obtained as eigenspaces of the automorphisms that implement field identification. To compute the characters and the modular S-matrix we use `orbit Lie algebras' and `twining characters', which were introduced in a previous paper (hep-th/9506135). The characters of the primary fields are expressed in terms of...

Source: http://arxiv.org/abs/hep-th/9509105v1

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Sep 19, 2013
09/13

by
J"urgen Fuchs; Bert Schellekens; Christoph Schweigert

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Any automorphism of the Dynkin diagram of a symmetrizable Kac-Moody algebra induces an automorphism of the algebra and a mapping between its highest weight modules. For a large class of such Dynkin diagram automorphisms, we can describe various aspects of these maps in terms of another Kac-Moody algebra, the `orbit Lie algebra'. In particular, the generating function for the trace of the map on modules, the `twining character', is equal to a character of the orbit Lie algebra. Orbit Lie...

Source: http://arxiv.org/abs/hep-th/9506135v3

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Sep 18, 2013
09/13

by
J. Fuchs; A. N. Schellekens; C. Schweigert

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The recently introduced Galois symmetries of RCFT are generalized, for the WZW case, to `quasi-Galois symmetries'. These symmetries can be used to derive a large number of equalities and sum rules for entries of the modular matrix S, including some that previously had been observed empirically. In addition, quasi-Galois symmetries allow to construct modular invariants and to relate S-matrices as well as modular invariants at different levels. They also lead us to an extremely plausible...

Source: http://arxiv.org/abs/hep-th/9412009v1